Q. Divide. If there is a remainder, include it as a simplified fraction.(5y2+6y)÷y
Divide Polynomial by Monomial: We have the expression to divide: (5y2+6y)÷yFirst, we will divide each term in the polynomial by the monomial y.(5y2+6y)÷y=y5y2+y6y
Divide First Term: Now let's divide the first term:(5y2)/y=5y(2−1)=5yWe subtract the exponents because of the division property of exponents.
Divide Second Term: Next, we divide the second term:(6y)/y=6y(1−1)=6y0=6Since any non-zero number raised to the power of 0 is 1, y0 is 1.
Combine Results: Combine the results of the division of each term:(5y2+6y)÷y=y5y2+y6y=5y+6
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